09 December 2017

SIAM ALA 18 Conference in Hong Kong

I am organizing a minisymposium and giving a talk at next SIAM Applied Linear Algebra conference in Hong Kong. Below are some detail of my contributions. This event is part of the research project MAGNET for which I would like to acknowledge support from the Marie Curie individual fellowship scheme.

Minisymposium: Nonlinear Perron-Frobenius theory and applications
jointly organized with Antoine Gautier
Abstract: Nonlinear Perron-Frobenius theory addresses problems such as existence, uniqueness and maximality of positive eigenpairs of different types of nonlinear and order-preserving mappings.In recent years tools from this theory have been successfully exploited to address problems arising from a range of diverse applications and various areas, such as graph and hypergraph analysis, machine learning, signal processing, optimization and spectral problems for nonnegative tensors. This minisymposium sample some recent contributions in this field, covering advances in both the theory and the applications of Perron-Frobenius theory for nonlinear mappings.
Speakers:

• Antoine Gautier (Saarland University, Germany)
• Francesca Arrigo (University of Strathclyde, UK)
• Shmuel Friedland (University of Chicago, USA)
• Jiang Zhou (Harbin Engineering University, China)

Contributed talk: A new Perron-Frobenius theorem for nonnegative tensors
Abstract: Based on the concept of dimensional partition we consider a general tensor spectral problem that includes all known tensor spectral problems as special cases. We formulate irreducibility and symmetry properties in terms of the dimensional partition and use the theory of multi-homogeneous order-preserving maps to derive a general and unifying Perron-Frobenius theorem for nonnegative tensors that either includes previous results of this kind or improves them by weakening the assumptions there considered.

You may wish to have a look at my slides: